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Finding the Fourth Proportional to 410.45, 566.06 and 322.97

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Solution

The fourth proportional to 410.45, 566.06 and 322.97 is: 445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.45 : 566.06 = 322.97 : x
  2. Step 2: Convert to fraction form
    410.45/566.06 = 322.97/x
  3. Step 3: Cross multiply
    410.45x = 566.06 × 322.97
  4. Step 4: Simplify right side
    410.45x = 182,820.40
  5. Step 5: Solve for x
    x = 182,820.40/410.45
  6. Step 6: Final answer
    x = 445.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.